780480 has 84 divisors (see below), whose sum is σ = 2694432. Its totient is φ = 207360.

The previous prime is 780469. The next prime is 780499. The reversal of 780480 is 84087.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2745 + ... + 3015.

2⁷⁸⁰⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347216).

780480 is an abundant number, since it is smaller than the sum of its proper divisors (1913952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

780480 is a wasteful number, since it uses less digits than its factorization.

780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 780480 is about 883.4477913267. The cubic root of 780480 is about 92.0705193410.

Subtracting from 780480 its product of nonzero digits (1792), we obtain a cube (778688 = 92³).

The spelling of 780480 in words is "seven hundred eighty thousand, four hundred eighty".